As the diagrams of categories can be represented as graphs of objects and morphisms, I was wondering if (the diagrams of) higher-dimensional categories could be represented as hypergraphs, and if not why? And in the more general sense, what would be the best west to represent higher-dimensional categories (thinking of diagrams, but also data structures to represent them in programming languages)? And if we reverse the question, are there classes of categories whose diagrams would be best encoded as hypergraphs?
2026-03-25 10:52:47.1774435967
Can higher dimensional categories be represented as hypergraph and if not why?
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